Q10. for what value of x the mode of the following data is 35? =35,36,37,33,37,36,34,37,36,35,35, x + 30. Their answer is 10 .
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Answer:
25,34,31,23,22,26,35,29,20,32
No' of observations (n) =10
first of all we arrange the observations in an ascending order
20,22,23,25,26,29,31,32,34,35
Here observe that No' of observations (n) is even so
Median is average of
2
n
th term and (
2
n
+1) th term
Median =
2
2
n
th term+(
2
n
+1)th term
=
2
2
10
th term+(
2
10
+1)th term
=
2
5th term+6th term
=
2
26+29
=
2
55
Median = 27.5
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